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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 102850e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 102850.bk1 | 102850e1 | \([1, 0, 1, -8231, -370262]\) | \(-1392225385/526592\) | \(-23322246252800\) | \([]\) | \(276480\) | \(1.2748\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102850e do not have complex multiplication.Modular form 102850.2.a.e
sage: E.q_eigenform(10)